Least Common Multiple of 50/336, 60/268, 515/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/336, 60/268, 515/942 quickly i.e. 15450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/336, 60/268, 515/942 is 15450.

LCM(50/336, 60/268, 515/942) = 15450

LCM of 50/336, 60/268, 515/942

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 50/336,60/268,515/942

Given numbers are 50/336,60/268,515/942

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 50,60,515

Least Common Multiple of Numerators i.e. LCM of 50,60,515 is 30900.

GCF of Denominators means GCF of 336,268,942 as per the given fractions.

GCF of 336,268,942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,60,515

LCM of Fractions 50/336,60/268,515/942 is 15450

2 50, 60, 515
5 25, 30, 515
5, 6, 103

∴ So the LCM of the given numbers is 2 x 5 x 5 x 6 x 103 = 30900

Least Common Multiple of 50,60,515 with GCF Formula

Least Common Multiple of 50,60,515 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,60,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,60,515) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(50,60,515) x common factors =5 x 10 = 50

LCM(50,60,515) = ( 50 × 60 × 515 ) / 50

LCM(50,60,515) = 1545000 / 50

LCM(50,60,515) = 30900


Lets's calculate GCF of 336,268,942

2 336, 268, 942
168, 134, 471

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30900/2

Therefore the LCM of Fractions 50/336,60/268,515/942 is 15450

Greatest Common Factor of 336,268,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,268,942 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 336,268,942 . The biggest common factor number is the GCF number.
So the greatest common factor 336,268,942 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 50/336, 60/268, 515/942

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 50/336, 60/268, 515/942?

Answer: LCM of Numerators as per given numbers 50/336, 60/268, 515/942 is

LCM of Numerators i.e. for 50,60,515 is 30900

GCF of denominators i.e. for 336,268,942 is 2.

Thus, LCM of Fractions is 15450.Finally, LCM of Fractions for 50/336, 60/268, 515/942 is 15450.